354 



SCIENCE 



[N. S. Vol. L. No. 1293 



American Astronomical Society. On Thursday 



afternoon there was a joint session, at which the 



following paj)ers were presented: 



"Mathematics and statistics," retiring address 



of the president of the Mathematical Association 



of America, by E. V. Huntington. 



"The work of the National Research Council 



with reference to mathematics and astronomy," 



by E. W. Brown. 



E«ports on the international conference of sci- 

 entists at Brussels, by Frank Schlesinger and 



L. A. Bauer. 



The following papers were presented to the so- 

 ciety : 



On wind corrections : Peter Field. 



Cauchy's memoir of 1814 on definite integrals: H. 

 J. Ettlinger. 



Expansion of any determinant in minors from 

 rectangular panels: L. H. ElCE. 



Pseudo-canonical forms and invariants of systems 



I of partial differential equations: A. L. Nelson. 



On the separation of complex roots of an algebraic 



I equation: A. J. Kempner. 



Some theorems on the zeros of solutions of homo- 

 geneous linear differential equations of the nth 

 order: C. N. Reynolds, Jr. 



Some theorems on the zeros of solutions of self- 

 Ofijoint homogeneous linear differential equa- 

 tions of the fifth order: C. N. Reynolds, Jr. 



Proof of the existence of distinct three-dimen- 

 sional manifolds with the same group: J. W. 

 Alexander. 



Certain determinants expressible as circulants or 

 sTcew-circulants : E. D. Roe, Jr. 



A brief account of the life and worTe of the late 

 Professor Ulisse Dini: W. B. Ford. 



The resolvents of Kiinig and other types of sym- 

 metric functions: S. P. Shugert. 



Form of the number of subgroups of prime-power 

 groups: 6. A. Miller. 



A generalization of a formula of Schubert in 

 enumerative geometry: E. S. Allen. 



Joint axis congruences with indeterminate devel- 

 opables: E. P. Lane. 



A modification of an integral test for the con- 

 vergence and divergence of infinite series: E. W. 

 Brink. 



Certain types of involutorial space transformations 

 (second paper) : F. E. Sharpe and Virgil 

 Snyder. 

 Transformations of surfaces applicajble to a 

 quadric: L. P. Eisenhart. 



Transformations of cyclic systems of circles: L. 

 P. Eisenhart. 



Differential equations containing arbitrary func- 

 tions: G. A. Bliss. 



Functions of lines in ballistics: G. A. Bliss. 



On the relative positions of the complex roots of 

 an algebraic equoiion with real coefficients and 

 those of its derived equation: D. R. Cuetiss. 



Vrn schemata as a basis for the development of 

 the theory of correlation: H. L. Rietz. 



Projective transformations in function space 

 (second paper) : L. L. Dines. 



On the invariants belonging to a hypernumber in 

 an algebra- of infinite order: J. B. Shaw. 



Conditions necessary and sufficient for the exist- 

 ence of a Stieltjes integral: R. D. Carmichael. 



Note on convergence tests for series and on 

 Stieltjes integration by parts: R. D. Car- 

 michael. 



Note on a physical interpretation of Stieltjes in- 

 tegrals: E. D. Carmichael. 



An apparent anomaly in errors of interpolated 

 values: H. A. Howe. 



Transformations of a Stieltjes integral potential: 

 G. C. Evans. 



Note on sequences of Stieltjes integrals: T. H. 

 Hildebrandt. 



Differential equations of motion of a projectile 

 regarded as a particle: W. H. Eoevek. 



Certain properties of binomial coefficients: "W. D. 

 Cairns. 



On the shape of polynomial curves: A. J. Kempnee. 

 Abstracts of these papers and a fuller report of 



the meeting will be published in the November 



number of the Bulletin of the American Mathe- 

 matical Society. 



E. J. Moulton, 

 Acting Secretary 



SCIENCE 



A Weekly Journal devoted to the Advancement of 



Science, publishing the official notices and jwo- 



ceedings of the American Association for 



the Advancenaent of Science 



Published every Friday by 



THE SCIENCE PRESS 



LANCASTER, PA. GARRISON, N. Y. 



NEW YOMC N. Y. 



Entered in the po9t-o£ce at Lancutci. Pa., a* second dan mAna 



